How many different binary search trees can be constructed

Assignment Help Computer Engineering

Reference no: EM131832973

Problem

1. Write an efficient algorithm that will find an optimal order for multiplying n matrices A₁ × A₂ × · · · × Aⁿ, where the dimension of each matrix is 1 × 1, 1 × d, d × 1, or d × d for some positive integer d. Analyze your algorithm and show the results using order notation.

2. How many different binary search trees can be constructed using six distinct keys?

3. Create the optimal binary search tree for the following items, where the probability occurrence of each word is given in parentheses: CASE (.05), ELSE (.15), END (.05), IF (.35), OF (.05), THEN (.35).

Reference no: EM131832973

Questions Cloud

Write an algorithm to find the maximum sum : Use the dynamic programming approach to write an algorithm to find the maximum sum in any contiguous sub list of a given list of n real values.

Arbitrary day is the same as on the preceding day : Suppose the probability is equal to P that the weather (rain or no rain) on any arbitrary day is the same as on the preceding day

What is the probability that the coin tossed on the nth toss : What is the probability that the coin tossed on the nth toss will fall heads if (i) n = 2, (ii) n = 4, (iii) n = 6, (iv) n is very large?

Define effect of amplifying a negative real shock : Consider the following economic events. Which of them will have the effect of amplifying a negative real shock and which are intended to offset a shock?

How many different binary search trees can be constructed : How many different binary search trees can be constructed using six distinct keys? Create the optimal binary search tree for the given items.

Which business models would succeed in the future : In 1971, Intel invented the first computer microprocessor. In early 1993, the National Center for Supercomputing Applications released the first Web browser.

What proportion of the group : In the long run, what proportion of the group will be (i) Easterners, (ii) Westerners, (iii) will move from East to West in a given year, (iv) will move

Find the stationary probabilities : Prove that the Markov chain is ergodic. Find the stationary probabilities.

Where the population is less crowded : How is the previous question similar to this question: Should the government encourage people to move from the East and West coasts to the Midwest and Rocky.

User Account

All Pages